Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)

Construction of compactly supported orthonormal symmetric and antisymmetric two-direction refinable functions and its corresponding wavelet with scale M

Authors
Wan-she LI, Quan-gang Yao
Corresponding Author
Wan-she LI
Available Online April 2013.
DOI
10.2991/icsem.2013.159How to use a DOI?
Keywords
symmetric and antisymmetric, two-direction refinable functions, two-direction wavelet, compactly, orthonormal
Abstract

In this paper, the concepts and related conclusions of two-direction multiresolution analysis and two-direction refinable functions are introduced; two-direction wavelet with scale 2 is researched and is extended to orthonormal symmetric and antisymmetric two-direction wavelet with scale M and relevant properties are obtained. A condition that stable solution of two-direction refinable functions can create for MRA is given; finally construction of two-direction wavelet by two-direction compactly orthonormal refinable functions is discussed.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
Series
Advances in Intelligent Systems Research
Publication Date
April 2013
ISBN
10.2991/icsem.2013.159
ISSN
1951-6851
DOI
10.2991/icsem.2013.159How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Wan-she LI
AU  - Quan-gang Yao
PY  - 2013/04
DA  - 2013/04
TI  - Construction of compactly supported orthonormal symmetric and antisymmetric two-direction refinable functions and its corresponding wavelet with scale M
BT  - Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
PB  - Atlantis Press
SP  - 773
EP  - 776
SN  - 1951-6851
UR  - https://doi.org/10.2991/icsem.2013.159
DO  - 10.2991/icsem.2013.159
ID  - LI2013/04
ER  -